{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "options(warn=-1)\n",
    "\n",
    "library(xts)\n",
    "library(Quandl)\n",
    "library(dplyr)\n",
    "library(plotly)\n",
    "library(lubridate)\n",
    "library(forecast)\n",
    "library(TSPred)\n",
    "library(fGarch)\n",
    "library(tseries)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dowload data using Quandl API\n",
    "\n",
    "- The API will provide weekly data since 04/08/1990 \n",
    "- It will form a dataframe which needs to be reversed to in chronological order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "qurtly_data = Quandl(\"CHRIS/CME_NG1\", collapse = 'quarterly')\n",
    "monthly_data = Quandl(\"CHRIS/CME_NG1\", collapse = 'monthly')\n",
    "daily_data = Quandl(\"CHRIS/CME_NG1\", collapse = 'daily')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "qurtly_data <- qurtly_data[rev(rownames(qurtly_data)),]\n",
    "monthly_data <- monthly_data[rev(rownames(monthly_data)),]\n",
    "daily_data <- daily_data[rev(rownames(daily_data)),]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Date</th><th scope=col>Open</th><th scope=col>High</th><th scope=col>Low</th><th scope=col>Last</th><th scope=col>Change</th><th scope=col>Settle</th><th scope=col>Volume</th><th scope=col>Previous Day Open Interest</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>6831</th><td>1990-04-03</td><td>1.580     </td><td>1.655     </td><td>1.580     </td><td>1.635     </td><td>NA        </td><td>1.635     </td><td>240       </td><td>110       </td></tr>\n",
       "\t<tr><th scope=row>6830</th><td>1990-04-04</td><td>1.620     </td><td>1.650     </td><td>1.599     </td><td>1.620     </td><td>NA        </td><td>1.620     </td><td> 84       </td><td>127       </td></tr>\n",
       "\t<tr><th scope=row>6829</th><td>1990-04-05</td><td>1.615     </td><td>1.635     </td><td>1.610     </td><td>1.615     </td><td>NA        </td><td>1.615     </td><td> 57       </td><td>112       </td></tr>\n",
       "\t<tr><th scope=row>6828</th><td>1990-04-06</td><td>1.615     </td><td>1.635     </td><td>1.610     </td><td>1.625     </td><td>NA        </td><td>1.625     </td><td> 62       </td><td>136       </td></tr>\n",
       "\t<tr><th scope=row>6827</th><td>1990-04-09</td><td>1.612     </td><td>1.640     </td><td>1.612     </td><td>1.637     </td><td>NA        </td><td>1.637     </td><td> 37       </td><td>145       </td></tr>\n",
       "\t<tr><th scope=row>6826</th><td>1990-04-10</td><td>1.625     </td><td>1.630     </td><td>1.613     </td><td>1.620     </td><td>NA        </td><td>1.620     </td><td> 29       </td><td>150       </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllll}\n",
       "  & Date & Open & High & Low & Last & Change & Settle & Volume & Previous Day Open Interest\\\\\n",
       "\\hline\n",
       "\t6831 & 1990-04-03 & 1.580      & 1.655      & 1.580      & 1.635      & NA         & 1.635      & 240        & 110       \\\\\n",
       "\t6830 & 1990-04-04 & 1.620      & 1.650      & 1.599      & 1.620      & NA         & 1.620      &  84        & 127       \\\\\n",
       "\t6829 & 1990-04-05 & 1.615      & 1.635      & 1.610      & 1.615      & NA         & 1.615      &  57        & 112       \\\\\n",
       "\t6828 & 1990-04-06 & 1.615      & 1.635      & 1.610      & 1.625      & NA         & 1.625      &  62        & 136       \\\\\n",
       "\t6827 & 1990-04-09 & 1.612      & 1.640      & 1.612      & 1.637      & NA         & 1.637      &  37        & 145       \\\\\n",
       "\t6826 & 1990-04-10 & 1.625      & 1.630      & 1.613      & 1.620      & NA         & 1.620      &  29        & 150       \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Date | Open | High | Low | Last | Change | Settle | Volume | Previous Day Open Interest | \n",
       "|---|---|---|---|---|---|\n",
       "| 6831 | 1990-04-03 | 1.580      | 1.655      | 1.580      | 1.635      | NA         | 1.635      | 240        | 110        | \n",
       "| 6830 | 1990-04-04 | 1.620      | 1.650      | 1.599      | 1.620      | NA         | 1.620      |  84        | 127        | \n",
       "| 6829 | 1990-04-05 | 1.615      | 1.635      | 1.610      | 1.615      | NA         | 1.615      |  57        | 112        | \n",
       "| 6828 | 1990-04-06 | 1.615      | 1.635      | 1.610      | 1.625      | NA         | 1.625      |  62        | 136        | \n",
       "| 6827 | 1990-04-09 | 1.612      | 1.640      | 1.612      | 1.637      | NA         | 1.637      |  37        | 145        | \n",
       "| 6826 | 1990-04-10 | 1.625      | 1.630      | 1.613      | 1.620      | NA         | 1.620      |  29        | 150        | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "     Date       Open  High  Low   Last  Change Settle Volume\n",
       "6831 1990-04-03 1.580 1.655 1.580 1.635 NA     1.635  240   \n",
       "6830 1990-04-04 1.620 1.650 1.599 1.620 NA     1.620   84   \n",
       "6829 1990-04-05 1.615 1.635 1.610 1.615 NA     1.615   57   \n",
       "6828 1990-04-06 1.615 1.635 1.610 1.625 NA     1.625   62   \n",
       "6827 1990-04-09 1.612 1.640 1.612 1.637 NA     1.637   37   \n",
       "6826 1990-04-10 1.625 1.630 1.613 1.620 NA     1.620   29   \n",
       "     Previous Day Open Interest\n",
       "6831 110                       \n",
       "6830 127                       \n",
       "6829 112                       \n",
       "6828 136                       \n",
       "6827 145                       \n",
       "6826 150                       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(daily_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Date</th><th scope=col>Open</th><th scope=col>High</th><th scope=col>Low</th><th scope=col>Last</th><th scope=col>Change</th><th scope=col>Settle</th><th scope=col>Volume</th><th scope=col>Previous Day Open Interest</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>6</th><td>2017-06-26</td><td>2.990     </td><td>3.052     </td><td>2.975     </td><td>3.047     </td><td>   NA     </td><td>3.027     </td><td> 61332    </td><td> 26928    </td></tr>\n",
       "\t<tr><th scope=row>5</th><td>2017-06-27</td><td>3.049     </td><td>3.060     </td><td>3.012     </td><td>3.020     </td><td>0.010     </td><td>3.037     </td><td> 44524    </td><td> 21360    </td></tr>\n",
       "\t<tr><th scope=row>4</th><td>2017-06-28</td><td>3.020     </td><td>3.080     </td><td>3.016     </td><td>3.064     </td><td>0.030     </td><td>3.067     </td><td> 10609    </td><td>  7063    </td></tr>\n",
       "\t<tr><th scope=row>3</th><td>2017-06-29</td><td>3.080     </td><td>3.122     </td><td>3.032     </td><td>3.037     </td><td>0.052     </td><td>3.042     </td><td>155622    </td><td>275106    </td></tr>\n",
       "\t<tr><th scope=row>2</th><td>2017-06-30</td><td>3.037     </td><td>3.052     </td><td>2.974     </td><td>3.041     </td><td>0.007     </td><td>3.035     </td><td>151157    </td><td>274412    </td></tr>\n",
       "\t<tr><th scope=row>1</th><td>2017-07-03</td><td>2.949     </td><td>3.050     </td><td>2.935     </td><td>2.950     </td><td>0.084     </td><td>2.951     </td><td>142393    </td><td>275176    </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllll}\n",
       "  & Date & Open & High & Low & Last & Change & Settle & Volume & Previous Day Open Interest\\\\\n",
       "\\hline\n",
       "\t6 & 2017-06-26 & 2.990      & 3.052      & 2.975      & 3.047      &    NA      & 3.027      &  61332     &  26928    \\\\\n",
       "\t5 & 2017-06-27 & 3.049      & 3.060      & 3.012      & 3.020      & 0.010      & 3.037      &  44524     &  21360    \\\\\n",
       "\t4 & 2017-06-28 & 3.020      & 3.080      & 3.016      & 3.064      & 0.030      & 3.067      &  10609     &   7063    \\\\\n",
       "\t3 & 2017-06-29 & 3.080      & 3.122      & 3.032      & 3.037      & 0.052      & 3.042      & 155622     & 275106    \\\\\n",
       "\t2 & 2017-06-30 & 3.037      & 3.052      & 2.974      & 3.041      & 0.007      & 3.035      & 151157     & 274412    \\\\\n",
       "\t1 & 2017-07-03 & 2.949      & 3.050      & 2.935      & 2.950      & 0.084      & 2.951      & 142393     & 275176    \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Date | Open | High | Low | Last | Change | Settle | Volume | Previous Day Open Interest | \n",
       "|---|---|---|---|---|---|\n",
       "| 6 | 2017-06-26 | 2.990      | 3.052      | 2.975      | 3.047      |    NA      | 3.027      |  61332     |  26928     | \n",
       "| 5 | 2017-06-27 | 3.049      | 3.060      | 3.012      | 3.020      | 0.010      | 3.037      |  44524     |  21360     | \n",
       "| 4 | 2017-06-28 | 3.020      | 3.080      | 3.016      | 3.064      | 0.030      | 3.067      |  10609     |   7063     | \n",
       "| 3 | 2017-06-29 | 3.080      | 3.122      | 3.032      | 3.037      | 0.052      | 3.042      | 155622     | 275106     | \n",
       "| 2 | 2017-06-30 | 3.037      | 3.052      | 2.974      | 3.041      | 0.007      | 3.035      | 151157     | 274412     | \n",
       "| 1 | 2017-07-03 | 2.949      | 3.050      | 2.935      | 2.950      | 0.084      | 2.951      | 142393     | 275176     | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  Date       Open  High  Low   Last  Change Settle Volume\n",
       "6 2017-06-26 2.990 3.052 2.975 3.047    NA  3.027   61332\n",
       "5 2017-06-27 3.049 3.060 3.012 3.020 0.010  3.037   44524\n",
       "4 2017-06-28 3.020 3.080 3.016 3.064 0.030  3.067   10609\n",
       "3 2017-06-29 3.080 3.122 3.032 3.037 0.052  3.042  155622\n",
       "2 2017-06-30 3.037 3.052 2.974 3.041 0.007  3.035  151157\n",
       "1 2017-07-03 2.949 3.050 2.935 2.950 0.084  2.951  142393\n",
       "  Previous Day Open Interest\n",
       "6  26928                    \n",
       "5  21360                    \n",
       "4   7063                    \n",
       "3 275106                    \n",
       "2 274412                    \n",
       "1 275176                    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tail(daily_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>110</li>\n",
       "\t<li>9</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 110\n",
       "\\item 9\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 110\n",
       "2. 9\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 110   9"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>328</li>\n",
       "\t<li>9</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 328\n",
       "\\item 9\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 328\n",
       "2. 9\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 328   9"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>6831</li>\n",
       "\t<li>9</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 6831\n",
       "\\item 9\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 6831\n",
       "2. 9\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 6831    9"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(qurtly_data)\n",
    "dim(monthly_data)\n",
    "dim(daily_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "IOPub data rate exceeded.\n",
      "The notebook server will temporarily stop sending output\n",
      "to the client in order to avoid crashing it.\n",
      "To change this limit, set the config variable\n",
      "`--NotebookApp.iopub_data_rate_limit`.\n"
     ]
    }
   ],
   "source": [
    "p1 <- plot_ly(daily_data, x = ~Date, y = ~Open, type = 'scatter', mode = 'lines') %>%\n",
    "        layout(title = \"Natural Gas Prices Chart\",\n",
    "         xaxis = list(title = \"Year\"),\n",
    "         yaxis = list (title = \"Price in US$ per Million BTU\"))\n",
    "p1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert the dataframe into a time series and check properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#qurtly_ts <- ts(qurtly_data$Open, frequency=4, start = decimal_date(ymd(\"1990-06-30\")))\n",
    "#monthly_ts <- ts(monthly_data$Open, frequency=12, start = decimal_date(ymd(\"1990-04-30\")))\n",
    "daily_ts <- ts(daily_data$Open)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ***augmented Dickey-Fuller (ADF)*** test is a formal statistical test for stationarity. The null hypothesis assumes that the series is non-stationary. ADF procedure tests whether the change in Y can be explained by lagged value and a linear trend. If contribution of the lagged value to the change in Y is non-significant and there is a presence of a trend component, the series is non-stationary and null hypothesis will not be rejected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  daily_ts\n",
       "Dickey-Fuller = -3.2142, Lag order = 18, p-value = 0.08538\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "adf.test(daily_ts, alternative = \"stationary\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This means that the series is not stationary. Usually, non-stationary series can be corrected by a simple transformation such as differencing. Differencing the series can help in removing its trend or cycles. The idea behind differencing is that, if the original data series does not have constant properties over time, then the change from one period to another might. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  daily_dff1\n",
       "Dickey-Fuller = -18.311, Lag order = 18, p-value = 0.01\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Q5IM4RNVxCAAAQgAIEpEVh/Sn5xCwEI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VjUiTFHfhp6TukG1Pfq+6QHSB6Px30ryXy9gfT9XGVx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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "daily_dff1 = diff(daily_ts, differences = 1)\n",
    "adf.test(daily_dff1, alternative = \"stationary\")\n",
    "\n",
    "plot(daily_dff1, ylab=\"Residual\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "-4.1100 -0.0610  0.0000  0.0002  0.0600  4.4800 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(daily_dff1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mean is close to 0 and Dickey-Fuller Test suggests that the null hypothesis can be rejected. That is TS is close to being a stationary and differencing parameter ***d = 1***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*** Autocorrelations and Choosing Model Order ***\n",
    "\n",
    "Autocorrelation plots (also known as ACF or the auto correlation function) are a useful visual tool in determining whether a series is stationary. These plots can also help to choose the order parameters for ARIMA model. If the series is correlated with its lags then, generally, there are some trend or seasonal components and therefore its statistical properties are not constant over time.\n",
    "\n",
    "ACF plots display correlation between a series and its lags. In addition to suggesting the order of differencing, ACF plots can help in determining the order of the MA (q) model. Partial autocorrelation plots (PACF), as the name suggests, display correlation between a variable and its lags that is not explained by previous lags. PACF plots are useful when determining the order of the AR(p) model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+jUqZOzR9vtrhAVpO+++y6CTevWrSPymEECJEACyRCggpQMNbYhARIgARIggQwT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Yhuvdr9+KPcs0i2TnftwLL7wwmwVvdoDp5z//ObPjPsgWz+17wNQeW8ymtPXKygtI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\nAwcy4QQCNSQgVXF7t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xAe2uLZUuqceV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\nTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Inspect ACF and PACF\n",
    "\n",
    "ggtsdisplay(daily_ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Auto-correlation of residual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iACIiACIiACIpBrAlKQUlb8t912m1eK\nhg4d6r7zne+4/v37d0rhm2++6e6///5Ox8sdGDZsmF8HqVwYnRMBERABERABERABERCBvBOQ\ngpT3J0D5FwEREAEREAEREAEREAERKBDQNN8FFNoRAREQAREQAREQAREQARHIOwEpSHl/ApR/\nERABERABERABERABERCBAgEpSAUU2hEBERABERABERABERABEcg7ASlIeX8ClH8REAEREAER\nEAEREAEREIECASlIBRTaEQEREAEREAEREAEREAERyDsBKUh5fwKUfxEQAREQAREQAREQAREQ\ngQIBKUgFFNoRAREQAREQAREQAREQARHIOwEpSHl/ApR/ERABERABERABERABERCBAgEpSAUU\n2hEBERABERABERABERABEcg7gZ55B0D+33333ZZj6NWrl1t44YXdzJkz3aefftry9CgB8wks\nssgi7qOPPpp/QHstJ7Dgggu6hRZayM2YMcN99tlnLU+PEjCfQP/+/d3HH388/4D2Wk6gd+/e\njr/p06e7OXPmtDw9SsCXBLp16+b69u3rpk2bJiQpIsC3hW8M5fL555+nKGX5Tkr37t19O5l6\nrB4hniWXXLJiFFKQOhCl5QVASUJBSkt6Kj49OQnQs2dPlUnKypqGBe8LCpLel3QVjt6XdJUH\nqbH3Ze7cuXpfUlQ8NNR69OihMklRmZAUyoXvi96XdBUM9VhXvi9ysUtX+Ss1IiACIiACIiAC\nIiACIiACLSQgBamF8HVrERABERABERABERABERCBdBGQgpSu8lBqREAEREAEREAEREAEREAE\nWkhAClIL4evWIiACIiACIiACIiACIiAC6SIgBSld5aHUiIAIiIAIiIAIiIAIiIAItJCAFKQW\nwtetRUAEREAEREAEREAEREAE0kVAClK6ykOpEQEREAEREAEREAEREAERaCEBKUgthK9bi4AI\niIAIiIAIiIAIiIAIpIuAFKR0lYdSIwIiIAIiIAIiIAIiIAIi0EICUpBaCF+3FgEREAEREAER\nEAEREAERSBcBKUjpKg+lRgREQAREQAREQAREQAREoIUEpCC1EL5uLQIiIAIiIAJdQeAXv/iF\nGzx4sNt8883dpEmTuuKWuocIiIAIZJaAFKTMFp0SLgIiIAIiIAKVCbzxxhvuiCOOcB9++KGb\nOHGiO+aYYypfpBAiIAIikGMCUpByXPjKugiIgAiIQPsTmDZtWiGTc+fOdR999FHht3ZEQARE\nQAQ6E5CC1JmJjoiACIiACIhA2xBYffXV3dZbb+3z061bN3fiiSe2Td6UEREQARFoBgEpSM2g\nqjhFQAREQAREIEUELr74Yp+aDTbYwG222WYpSpmSIgIiIALpIyAFKX1lohSJgAiIgAiIQEMJ\n4FqH9OzZs6HxKjIREAERaEcCUpDasVSVJxEQAREQAREQAREQAREQgZoISEGqCZsuEgEREAER\nEAEREAEREAERaEcCUpDasVSVJxEQAREQAREQAREQAREQgZoISEGqCZsuEgEREAEREAEREAER\nEAERaEcCUpDasVSVJxEQAREQAREQAREQAREQgZoISEGqCZsuEgEREAEREAEREAEREAERaEcC\nUpDasVSVJxEQAREQAREQAREQAREQgZoISEGqCZsuEgEREAEREIHsELB1kLKTYqVUBERABFpH\nQApS69jrziIgAiIgAiIgAiIgAiIgAikjIAUpZQWi5IiACIiACIiACIiACIiACLSOgBSk1rHX\nnUVABERABERABERABERABFJGQApSygpEyREBERABERABERABERABEWgdASlIrWOvO4uACIiA\nCIhAlxLQZA1dils3EwERyCgBKUgZLTglWwREQAREQAREQAREQAREoPEEpCA1nqliFAEREAER\nEAEREAEREAERyCgBKUgZLTglWwREQAREQASSEpBrXVJSCicCIiACzklB0lMgAiIgAiIgAiIg\nAiIgAiIgAvMISEHSoyACIiACIiACIiACIiACIiAC8whIQdKjIAIiIAIiIAIiIAIiIAIiIALz\nCEhB0qMgAiIgAiIgAiIgAiIgAiIgAvMISEHSoyACIiACIiACIiACIiACIiAC8wj0FAnnBgwY\n0HIM3bp182no16+f69u3b8vTowTMJ9C9e/dUPCPzU6Q9e1/69+/veGck6SHQo0cPvS/pKQ6f\nEuqwDz74wO8vsMACKp8UlY/elxQVxryk8L4giy666Lwj2qSFQCPaY3PmzEmUHSlIHZjee++9\nRLCaGWihhRbyL+O0adPcrFmzmnkrxV0lgaWWWioVz0iVyW7r4H369HEoRx9//LGbPXt2W+c1\na5mjwykNdWrWuDUzvWGn22effabyaSbsKuKmsbfYYou5KVOmVHGVgjabAN8WvjFTp051vC+S\ndBDo2bOn/+5bZ0+tqaJTonfv3hUvl4tdRUQKIAIiIAIiIALZJqB1kLJdfkq9CIhA1xKQgtS1\nvHU3ERABERABERABERABERCBFBOQgpTiwlHSREAEREAEREAEREAEREAEupaAFKSu5a27iYAI\niIAIiIAIiIAIiIAIpJiAFKQUF46SJgIiIAIiIAIiIAIiIAIi0LUEpCB1LW/dTQREQAREQARa\nRkCTNbQMvW4sAiKQIQJSkDJUWEqqCIiACIiACIiACIiACIhAcwlIQWouX8UuAiIgAiIgAiIg\nAiIgAiKQIQJSkDJUWEqqCIiACIiACNRCQK51tVDTNSIgAnklIAUpryWvfIuACIiACIiACIiA\nCIiACHQiIAWpExIdEAEREAEREAEREAEREAERyCsBKUh5LXnlWwREQAREQAREQAREQAREoBMB\nKUidkOiACIiACIiACIiACIiACIhAXglIQcprySvfIiACIiACIiACIiACIiACnQhIQeqERAdE\nQAREQAREQAREQAREQATySkAKUl5LXvkWAREQAREQAREQAREQARHoREAKUickOiACIiACIiAC\n7UVA6yC1V3kqNyIgAs0lIAWpuXwVuwiIgAiIgAiIgAiIgAiIQIYISEHKUGEpqSIgAiIgAiIg\nAiIgAiIgAs0lIAWpuXwVuwiIgAiIgAiIgAiIgAiIQIYISEHKUGEpqSIgAiIgAiIgAiIgAiIg\nAs0lIAWpuXwVuwiIgAiIgAikhoAma0hNUSghIiACKSYgBSnFhaOkiYAIiIAIiIAIiIAIiIAI\ndC0BKUhdy1t3EwEREAEREAEREAEREAERSDEBKUgpLhwlTQREQAREQAQaQUCudY2gqDhEQATy\nQkAKUl5KWvkUAREQAREQAREQAREQARGoSEAKUkVECiACIiACIiACIiACIiACIpAXAlKQ8lLS\nyqcIiIAIiIAIiIAIiIAIiEBFAlKQKiJSABEQAREQAREQAREQAREQgbwQkIKUl5JWPkVABERA\nBERABERABERABCoSkIJUEZECiIAIiIAIiIAIiIAIiIAI5IWAFKS8lLTyKQIiIAIiIAIiIAIi\nIAIiUJGAFKSKiBRABERABERABLJNQOsgZbv8lHoREIGuJSAFqWt5624iIAIiIAIiIAIiIAIi\nIAIpJiAFKcWFo6SJgAiIgAiIgAiIgAiIgAh0LQEpSF3LW3cTAREQAREQAREQAREQARFIMQEp\nSCkuHCVNBERABERABERABERABESgawn07NrbJb/bzJkz3SOPPOImT57sVlttNTds2LCyFz/8\n8MNuxowZRWGGDBniBg4cWHRMP0RABERABEQgrwQ0WUNeS175FgERqIZAKhWkO+64w51zzjlu\n9dVXdwsvvLAbP368GzVqlDvqqKNi8/b555+7k08+2fXr18/17Dk/SwcccIAUpFhiOigCIiAC\nIiACIiACIiACIhBHYL42EXe2Bce++OILN2HCBHfggQe6nXbayafggQcecCeccILbYYcd3Ior\nrtgpVW+99Zb79NNP3RVXXOGWWGKJTud1QAREQAREQAREQAREQAREQASSEEjdGKQPPvjArbPO\nOm7kyJGF9A8dOtTv424XJ5MmTXJLLrmklKM4ODomAiIgAiKQewJyrcv9IyAAIiACVRBInQUJ\nRefII48sysI999zjevTo4VZeeeWi4/bjlVde8e5148aNc4xFWmyxxdxee+3lNt54YwtS2F5+\n+eXu2WefLfxefPHF3XHHHVf43aod8ofgUrjgggu2Khm6bwyB7t27u0UXXTTmjA61ioC50vK+\n9O7du1XJ0H1jCOh9iYHS4kP2vpAM9lWftbhA5t2+W7duKo90FEVRKhZYYAH/u2/fvk4dC0Vo\nWvqDb0sj6i881ZJI6hSkaKJfffVVd+mll7rdd9/dLb300tHT/vfLL7/ssDyttNJKbv3113e3\n3367d8k7++yz3fDhw4uueeaZZ9xf/vKXwrH/+Z//caeffnrhd6t3evXq1eok6P4xBBZaaKGY\nozrUagLqTGh1CcTfX+9LPJc0HKUzTuWThpKYnwaVx3wWadpT51uaSmN+Wup9XxiSk0S6dWjH\nc5MEbEWYf/zjH27s2LFu0003dT/60Y8c2mOcfPTRRw6NEMuRCQrVgAED3AUXXGCH/Jawn3zy\nSeEYH4s5c+YUfrdqhwLv37+/I32zZ89uVTJ03xgCWDXff//9mDM61CoCWI6YlGXq1KlF73Or\n0qP7zifAONApU6bMP6C9lhPo06ePe+edd3wn4oYbbuhuuOGGlqdJCXC+TbPIIou4Dz/8UDhS\nRIBvC98Y6rE0tA9ThKalScF6hFWP7349gi6BflBJUmtBeuihh9wpp5ziRo8e7X7wgx+UzQcV\nTFSwHD344IPRwy4uLB+OVouZ/NBXbb/VadL95xNQmcxnkYY969fR+5KG0uicBr0vnZm08oi9\nL5YGlY+RSMdW5ZGOcrBU2Pui74sRScfW3hPb1poqXFuTSLxJJsmVTQxz3333+Wm7DzvssIrK\nEck49thjO/WIMc5omWWWaWIqFbUIiIAIiIAIiIAIiIAIiEC7EUidgoRJ86c//akbMWKEGzRo\nkJ9QAWWHP8YZIW+++aa7+uqr3bRp0/xvZrm76qqrHLPZ4T534403uokTJ3rrkw+gfyIgAiIg\nAiIgAiIgAiIgAiKQgEDqXOyYYGHmzJnu7rvv9n9hHhiPtM0227jXXnvNXXLJJX5sEr6i22+/\nvWO80n777eeY5ICB26ybFJ2gIYxL+yIgAiIgAiIgAiIgAiIgAiIQJZA6BWmPPfZw/JUTJm0I\nxxcxwcFPfvITN2PGDG9VYra7pD6G5e6jcyIgAiIgAiLQDgRsXEU75EV5EAEREIFmE0idglRP\nhpmphz+JCIiACIiACIiACIiACIiACNRCIHVjkGrJhK4RAREQAREQAREQAREQAREQgUYQkILU\nCIqKQwREQAREQASaSODpp592Y8aMcT/72c/8ON0m3kpRi4AIiEDuCbSVi13uS1MAREAEREAE\n2o4As7vuuOOOfpbWBRZYwE2ePNn9/Oc/b7t8KkMiIAIikBYCsiClpSSUDhEQAREQARGIIfD6\n66+7OXPm+DOfffaZe/LJJ2NCJTukyRqScVIoERCBfBOQgpTv8lfuRUAERCATBP71r3+5Cy64\nwN10000ub438VVdd1Q0YMMCXEzO0jh49OhNlpkSKgAiIQFYJyMUuqyWndIuACIhATghMnTrV\njRw50s2aNcsv4fDqq6+6o48+Oie5d46lLFgcffPNN3ff+MY33GGHHZabvCujIiACItAKArIg\ntYK67ikCIiACIpCYAAuBoxzhZoaL2Z133pn42nYJyKLoyGKLLVZTlvJmdasJki4SAREQgXkE\npCDpURABERABEUg1AVzMmJwA6d69u2OxcIkIiIAIiIAINIuAFKRmkVW8IiACIiACDSGwxBJL\nuF//+tc+rtVXX92NHTu2IfEqEhEQAREQARGIIyAFKY6KjomACIiACKSKwMCBA316Bg0a5Hr0\n6JGqtCkxIiACIiAC7UVAClJ7ladyIwIiIAJtSUBjaNqyWJUpERABEUglASlIqSwWJUoEREAE\nRCAkIAXpSxriED4V2hcBERCB5hCQgtQcropVBERABESggQS++OKLBsaWvaikGGWvzJRiERCB\n7BKQgpTdslPKRUAERCA3BExBsG1uMq6MioAIiIAIdDkBKUhdjlw3FAEREAERqJZA3i1I1fKK\nhpdiGSWi3yIgAiJQmoAUpNJsdEYEREAERCAlBKQgpaQglAwREAERyAEBKUg5KGRlUQREQASy\nTiDvFpC85z/rz6/SLwIikC0CUpCyVV5KrQiIgAjkkoAUhC+LHQ4vv/yy++c//5nL50CZFgER\nEIGuICAFqSso6x4iIAIiIAJ1EZCL3Zf4XnvtNbfZZpu5rbbayh199NF1MdXFIiACIiAC8QSk\nIMVz0VEREAEREIEUETALkm1TlLQuSYrl+6233nIoi/xdffXVbubMmVXd3+Kp6iIFFgEREIGc\nEZCClLMCV3ZFQAREIIsEJk+e7JP9/vvvZzH5DUtzr169CnH179/f9e7du/BbOyIgAiIgAo0h\nIAWpMRwViwiIgAiIQJMIoByNGTPGx/7oo4+6G2+8sUl3Sn+0q622mkNJ6tGjh7vqqqtc9+76\njKe/1JRCERCBrBFQzZq1ElN6RUAERCBnBB555JFCjnER+8Mf/lD4nbedfv36uaWXXtqxXWed\ndRJnX651iVEpoAiIgAg4KUh6CERABERABFJNYM0113Rz5szxacRiMnz48FSnt9mJQ9mRwtNs\nyopfBEQgzwSkIOW59JV3ERABEcgAgcGDB7tTTjnFp3TVVVd1BxxwQAZS3dgkSiFqLE/FJgIi\nIALlCEhBKkdH50RABERABFJBYJVVVvHpWH755TMz7oYZ5hgzlfeJJVLxACkRIiACIlAFgZ5V\nhFVQERABERABERCBBASmTp3qNt98c/fee+/5CRVuuOEGt9ZaayW4snIQudhVZqQQIiACIlAP\nAVmQ6qGna0VABERABEQghsDtt9/upkyZ4sdOffLJJ278+PExoao/JFe76pnpChEQARGoloAs\nSNUSU3gREAERSCGBTz/91M/uxvTP2267revZs72q96wpBsstt5z7/PPP/ZNCmaywwgp1PTVZ\ny39dmdXFIiACItBiAu31BW0xTN1eBERABFpFYPfdd3ePP/64v/2tt97qrrzyylYlpan3zYqi\nsNFGG7mdd97ZXXPNNW7llVd2Bx98cEO5ZIVDQzOtyERABESgiwjIxa6LQOs2IiACItAsAkwG\n8PDDDzusSPzdfffd7osvvmjW7VoSbxYVglGjRnlWW2yxhVt44YUbxi3K4qmnnnLcY8SIEf45\niLtR9Jq4MDomAiIgAiLwJQEpSHoSREAERCDjBGh8L7nkkoVc0Bi+4447Cr+10xoCzVRKiPv5\n5593EydOdPvtt5974YUX3Msvv+z23XfftlOOW1N6uqsIiECeCUhBynPpK+8iIAJtQ2CbbbYp\n5IUxLzSY20maqWxkgVOYf/Znz57tvvnNb/qZ8sJpxGfMmOHPZSFPSqMIiIAIpJWAFKS0lozS\nJQIiIAJVENh1112LQocKU9EJ/cg0AZQj/ubMmeMtRfbbMsUiuo1057N4tRUBERCBPBHQJA15\nKm3lVQREoG0JrLHGGq5fv35u2rRpbuzYsW7IkCFtlVcUgaxKs9P+la98xaP5+OOP3SmnnJJV\nTEq3CIiACKSGgBSkjqJYZJFFWl4guMQgCy20kOvVq1fL06MEzCfQrVu3VDwj81OkPZvCmp7y\nBRdcUEDmEbB6hCmmW1Wvde/evSn37tOnj88lZd+qvFX7oFGfIzyj9aYZ5Rch/9RJxM2EHJT5\njTfe6HbZZRe/H3efBRZYwF/LP8LHhSkEmLfDFOWvvvqq41mSRSpKp3G/k5ZH4+6omCoRsPel\nb9++Gs9XCVYXnqfea0T9n3QCIylIHYWLL3erhQ8of5999pn/6LU6Pbr/fAK9e/dOxTMyP0Xa\no0zoSKCByDsj+ZKAWSrg0qp6jXqsGfcmTwgft2bE/yXBxv63Z5NtvWm26+3jTsOaBhx/TCPO\nccrfwoU5oWFhkoQfsyJuueWW7sUXX3T9+/d3t912m1t11VUtCm0bRIByoR6LK7MG3ULR1ECA\nTh6UJBZ4trXMaohGlzSYAOWCgtRV74sUpI4C5CVotVDwCH7laUhPq3mk6f40OlQmaSqRL3vR\nSZHel/nl8uGHHxY6V1rJpVnviylINFiy8j42Ms0WFwqO/aEkIfCAeyn21iNOWK6txO/mm2/2\n1iPC47J5wQUXuF/+8pf8lDSQAN/9JOXRwFsqqgQE6ORB6NiwTo4ElylIkwmgHDXifbF6s1Jy\nNUlDJUI6LwIiIAIpJ4ByxMKks2bN8in9xz/+kfIUK3m1EkAJMgn37VipbTVhF198cd8QIS6s\nHOEU8qXi13EREAERaCcCUpDaqTSVFxEQgVwSeOCBB9z06dMLeX/00UcL++2y89xzz/ms3HXX\nXQ4LR1oF9zQTU0psa8fr3RJf+Ed8jbzHZptt5qcQJ96BAwe6ww8/nF2JCIiACOSGgBSk3BS1\nMioCItCuBAYPHuzdDS1/yy67rO22zfaiiy7yecF98Ic//GGX+aEnBfjee++5TTbZxK244opu\nu+22c6GilDSOcuHiFKC4Y+XiqObc7rvv7oOTl0UXXbSaSxVWBERABDJPQApS5otQGRABEcg7\ngVVWWcUdffTRBQxbbLFFYb9ddmwMDvlhHBKKUprk8ssvd6+99ppPEi6ON9xwQ0OtOpZXODAu\nwpSjcGv7FlZbERABERCB2ghIQaqNm64SAREQgVQRGD58eCE94aD8wsGM7+y9996FHBxzzDF+\n9rbCgRTshAN/GUhsE++QtEYqLo899phjzBkTLXCfRggTMRx66KF+HNtll13mo7Q027YR91Ec\nIiACIpAVAlKQslJSSqcIiIAIlCEQNmTD/TKXZOoUk1AgTIuMi13a5Pvf/74bMGCATxYujzvt\ntFNDFSMr03AbWtHseC1cxo0b52699VY/c90ZZ5zhUMLqia+WNOgaERABEUgTASlIaSoNpUUE\nREAEaiTQ7g1ay1+4pk+NqJpyGTO/oSQhWGNsqmB+W9rZb6TAwuJma/vV3uNf//pXwWURy9fb\nb79diKLWOAsRaEcEREAEMkhAClIGC01JFgEREAERSB8BUybM9c1+NyOlrAkSuvHVcw8UO4sL\nRW/kyJH1RKdrRUAERCDzBKQgZb4IlQEREAERaJ6VIi1sTdmwbVrSFabD0mbb8Fyj91GQTN59\n993CYrF2LLotl6b11lvP7bbbbv6Sn//850Xju8pdF72HfouACIhAuxCQgtQuJal8iIAI5JpA\n2JBln0H8Tz31lJsyZUquuXRl5sMy4L7227aNTAtx8kc5Dxs2zE2dOtUvFPziiy/WdJuFFlrI\nX2cTfFiaP/roI/fvf/+7pjjzdhGcrr76aqeFmvNW8spvOxKQgtSOpao8iYAI5I6ANWjJOI3m\nTTfd1G2//fZu7bXXdo8//njmeVj+bJvmDJmLXbPTCIsZM2YUzWZ3/PHH13TbKFf7TYN/3XXX\ndb/85S+L4n3//ffddddd555++umi43n9gXLEOlgnnHCC22abbdzdd9+dVxTKtwi0BQEpSG1R\njMqECIhA3glYgxYOL7zwgps8ebJfLwhlyaZuzjujZuffyiC6beZ9o5NWhJNDVHPfaJpnz55d\ndPl5551X+P3BBx+4jTfe2B177LF+UdybbrqpcC6vO/fff79/31ininW6br755ryiUL5FoC0I\nSEFqi2JUJkRABPJOwBq4cOjfv79vpLHP4PvllluO3UxLmL+0ZsTSGLUg2fFGpps4+aN8bYIF\n4j/rrLNquk00jeEYJyJcbLHFCvE+8sgjbubMmc6Ugd///veFc3ndWW211QozAbImFm6PEhEQ\ngewSkIKU3bJTykVABESgQCBs4A4cONDtuuuu/twKK6zgjjzyyEK4rO+E+UxrXiyNtm1WOrFU\nzJo1q+BiR8Oc8i4npdJkx20bLnzLuKQrrriiEO3Xv/71gjKAcrbWWmsVztWzg7sgi+BmUb7x\njW8U1ufaYIMN3L777pvFbCjNIiAC8whIQdKjIAIiIAJtQMAatmTlpJNOcn/60598rjbffHPX\nr1+/Nshh+rNgZWBbS3H0tx2vZhsXBwpSoyQaf/h72WWXdUOHDi3casUVV3SnnHKK/73GGmu4\nI444onCu1p0bb7zRoXituuqq7uyzz641mrLXMeEEigt5+elPf1o2bC0nGe+HoCyFCmYtceka\nERCB1hKQgtRa/rq7CIiACDSEQNStK6s98aVghA32UmGqOX7HHXf4iSx23nlnx0KpjZRoWTQy\nbosr7h71NMrL8Y07Z1aj1Vdf3fXq1cuSVfP2xBNPLLiFXnDBBX5WvpojK3Eh8d5zzz3uv//9\nr7vooosc44YaKcbJto2MW3GJgAh0LQEpSF3LW3cTAREQgS4l0G6NtUbkh6nPWRz1pZdecg89\n9JA79NBDu7RMmnWzcCxS9B6VuNn56DYaj/1OGs7Cl9piycEihXudCYpeI5Qui8+2rBc1Z84c\n/5PJLZiJr5FiTBoZp+ISARFoDQEpSK3hrruKQOYJ0AN/xhlnuL/97W+Zz0s7ZqDW2czSyqKR\njU9mYTP3NOJ9++23G5JtS2OpbT03mTZtWj2XV7zW0hwXMO5c3LG4a8sdw5rD9OFM+IDiYjPy\nsVjtwgsvXO7SxOdIJ1OVH3744d71zdZ5GjBggPvWt76VOJ4kAY2JbZNcozAiIALpJCAFKZ3l\nolSJQKoJ/PGPf3QHHHCAu/TSS93o0aPdM888k+r05iFx0UbZMsss47PNopWMvWgXieazlnxh\nsdhoo40KlzZqEgtLW5z7W+FmNe5Uk8Y///nPbsyYMe6+++5LfDdLe3RLBMxWhxITSly48Hyl\n/Zdfftntt99+hQkmCM9itViPdtxxx0qXJz5/zTXXONaG+r//+z93+umnF5Sic8891/Xp0ydx\nPEkC1sskyT0URgREoGsISEHqGs66iwi0FYGHH37Y9/jSEMStR1ak1hfv66+/XpQI+80isTvs\nsEPRuSz+sMZnI9KOpQLlHmE65t12260R0RbisLTatnCixh3Wspo0aVLR1XFxc2z8+PFu//33\nd6xNtPvuuzssvbVIGP9//vMfb31B2Tax87a140m3f/jDH4qUI+qRJZdc0k9dnjSOaLhf//rX\nbr311nP77LOPw40SeeKJJ9xnn33m91G+sB4i5dwRfYAa/hkL29YQhS4RARFICQEpSCkpCCVD\nBLJCgI//IossUnCHwVUp7I3PSj7aJZ307m+//fZ+5rq4PKHEMtbGGoZxYfJ4zBqxWDIOPvjg\nhkwv/eijj3qUv/vd79xxxx3nnn322YagxV1ylVVWqRgXigATEYRCWuIEl72jjjrKbbPNNkWL\nmhqX6DXTp093uL6ZWDjb2vGk25VXXrkoKDPLkc9a40N5O+200/yEG7junXnmmT5+8meue7wL\nzVwTzNJu26IM6kcmCPCcS0QAAlKQ9ByIgAhURYCG3yWXXFJodBx99NGORRIlrSFw1113VWyI\nf/WrX3WLL754axLY4Ls2qvH51ltv+ZTRILrlllv81M9RK001ScetDcsq8sILL7gJEya4iy++\nuBAF50aNGuX23HNP9+abbxaOJ93BJSyUODc+jkUnHlh//fXDywr7P/7xj73b2dNPP+0OO+yw\nTgpiHGdYMZ6HCRXsvG0LESfc2XrrrYsWn+3bt6+Ps9b4mJnOrEJ02ti4si222MJb0kgWYybp\n3EHK3Qd3QsoOZbOWjoVycfub61/qCLCe2HbbbedWWmklx8yM9vykLqFKUJcRkILUZah1IxHo\nOgKMOTn11FPdQQcd5EK3mEakgMYkPdXWQKNhI2kdAcZRWFnEpaJnz57u1ltvjTuVqWONbnRO\nnjy5KP9Y4upxRXzttdcKnQYWsaWZ9wXF6KmnnvLjgg488EALknjbu3fvorAWd9HByI/hw4d7\n61jksP+J5cxmdEOxiE4CERc/FrITTjjBW53smYsLF3e/6DFmDwynokeprEc23njjgnWI/IQz\nEy699NI+6qWWWqqgGNkkHXH3xEWP2fXGjRvnrbNxYeKOGQvbxoXRsXQSYKyaWXyZ9p+yl+Sb\ngBSkjJf/lVde6adIZU0KxhpIRAACLNzIWAQaxgx4jjZ+6qHEwpDmskI8/fv3ryc6XVsngU03\n3dRtttlmnWL52te+5o8xa9cSSyzR6XzeD9x+++2dENBgL9dw7nRBcAA3R7Ng2GFrKNM7PXv2\nbH8YxaLR6y7Z/aLbLbfcMnqo8JvnxoR0W0fKe++9Z4c7bVH0UCRRrswCd/3117tdd9210yQO\nnS6OHKDeMD6c4jkNf0eCOxRQXHkHDhzo/vd//9dNnDixEIQxWvBlRjzk29/+tttwww0L58N4\nbe0jpnkv9c38+9//7juBUCBfffXVRFakX/3qVwU3V1ius846bqeddnJRRbyQqAbswOTf//53\nA2LKdxQsqs3CxzzfCM+LzXaYbzL5zr0UpAyXP4NQ6c3DHeCdd95pyGrmGcahpAcE6Amz3mEa\nZ9aYCYLUtEtczI4VumtFG4U1RayL6iKw9957d7reFg0NG4edAkUOfPzxx76xy/gQZk0zK0Ek\nWEt+Wj5sW28ibr755k5RLLvssn4WtU4nEhyg4W7uWxac2fKQfv36+UVp7ThjnqoRXNtqmSkS\nJdDcBqPcmCTBBAVj6tSp/icLqMYJz5N1jPD+P/nkkz4Yz8gjjzziSo11iouLY4w5CpU03HQt\njbYNr2XWTJQVFFjqs0MOOcSR7p/85Ce+k3DIkCHusssu85c8//zz7sYbbyxcbs/xG2+8UeBB\nXYaVPU5wS7S84nIV1ndx4Zkt8Gc/+1nBLYtJa3DRYss3uhlCvCiMKIulyqwZ921GnFhWUShh\n/dvf/rYZtygbJ2PX7BkhIGVf7Tta9gY6mUkCUpAyWWxfJpqevPBDYj2UGc6Skt4gArvsskvh\nA7/CCiv4D0+9UaOQb7DBBn7Gr9A1pt54dX08gfCDHR9i/tG4xj69/Aj1RFJh3AVjZbA4YhlY\nd911HW5axx57rB+gHx3fkjTeUuGos2jofuMb33Bjx46t2XpTKv5Sx2loR/nSKLr22mtLXVLx\nOApGlM8rr7zir6OextqPMJU1eUZx+cEPfuBdwcp1YDC2hpnZGOtXrTz22GNuk002cV//+tfd\n5ptv7i9n/BPpNAUgGidsXnzxxUIHi50fOXJkQVHAzTa0tJE/FI5qZauttipcguXKpqMPv2sW\ngJn0QiGNjK3DamRpMVdSJiVBwWeiBupCsxbibhpKqbXCsL5jdSU8ea0kobtiGJZnLJru8Hyt\n+7yfv/nNb/z3H1bR8Wm1xtuq61ijCoWSjgDGuNoMhF2VnkUXXbTTrep1+ewUoQ5kjoAUpMwV\n2fwE/8///I//wHKEj53N2jM/hPbySIDGFq4d9KgirP8RbRjUwoXGBw0rPvph4zKuMVNL/Lpm\nPgH831Fs11xzTT9uZf6Z+D1ThuLOUlbRNWziwnGMBqo1NtniHkSD+qqrrvI++cwIZudLxVHN\ncRp5t912m3v33Xf94P+zzz67msurCgsD7oelg/El4TNMRNSnZvGpKuJ5gWlkRS1IcfFgceWd\n4R0l7yi3e+yxRyHoP//5T1+Xo0ThJvad73zHK6z1cKccTXnD24B7wyDOjQiFGmUKpTgUpgu3\nhutXvvKVgsJFmMUWW8yPsQrDsw9jJq/AmoO1JxSmob/88ssLh5gswuL/xS9+UThuO3vttZft\nFrbl6h7cpZhM5oEHHvCzOHIRa4PhIoyQd6xW55xzjsNFHbc8mxofJRYXQOrNuMazj2DeP9Js\nY1fseKh8oghj6YmGsbC1bBmPRhpNsu5CGyrXlGlXd/YyGYdZ3GHKc2suysZY2/wRkIKU8TI/\n5phjfA6o9MPeuIxnK/PJx72NGZOYQSk67W4zM3f++ed7lwtcRMzKE35I67k3jWdz2wvjiTY0\nw3Par54ACsl5553n/eHpVY82VC1GGvwMLKaRjbtSOYkO8C8VFjcme17CRh7haXCifNPAbpSg\nGJnfPwoA1gBm5aMxjWLPWj5xz1wt9//ud7/rTu1wqYInYw6iYumIHscKwwQAWNJYILmU0LCL\nGwtm4a0xz5ZZ4Mg7+7w/jCVhH6sI9TjjWVCcOE6jvVTaLO5qt1hYUA5shrs4RQl3y1ICh3By\nFqYLj3NDwzKAqxLn4W+C0sJvc/+z47ZFacFtz4RnI8l6TiNGjLBLfKdhVKnkXWGiBgSmrJtE\nnckzzbgjlFITKxv7jRsYM+9961vf8koXiiRKFTOeRZ8ne4e4lvcUqxzXYTG0qeAt3lq2lBdW\nLt7RXr16+XzUEk9XXVOpg4ZvpdU33/ve9xyurl0pTKFPZ5QJ5Tp48GD72ZAtLrLUr4x1Mktp\nQyJuciS8Q4zVwz01byIFKeMlTiWO2Dbj2Wmb5NPjzscXMz0f4OgHtBkZpaEVKmPWkKUxQ4Os\nXsH9IU707MVRqf1YtFFHAznq7gFzpow+/vjjHTOiMaV0OUk6TmzQoEH+I05co0eP7hQla8hg\naYkTpkPGrYmJAf7617/GBSk6RgPzL3/5S9Ex8nX33Xe7nXfe2dH5QwObfOJ+g+JYq9gYHhrF\npZ5XXOSwqkSVEQbz4yrH/Wng4nZo75alhzKDV5yrI2E4Hip6KBfm8sZ5rEQ0EFEcounjd9Ly\nI64kQm85yoI9a7YNr42mIzyHIhdODmCdJLgRonTB6IorrnCMc6KcUXgZs4RChJsubm9RhmH8\n3JtFbm+44QZv+UI5KqVMhdeFEzfEWc3JM89XKQknzyANxoBng8luaORiCSL9KMwoz0j0mVl7\n7bVjb0FdjPUOZatewXUSF0Hex7BxX2+8Sa/HKsnzGio/uBPiaWDvKue23XZbb5lFeTULYfQe\n3/zmNwudPNRpXS0orWGZMIatkUJnA+84zx9WbOrJLAjvNR0ZPPtYs3//+99nIdkNS6MUpIah\n7NqIqJjxO7ZeNj5wDFBldfhSDdmuTWF+70ZPC1PYWoOIj6x9MJpJhUZUnIvPSSed5ButNFTq\nEQYDWy9fGE+98YZxad/5cRVMCW1CI4MGBFal6667zjdqURhoDMLeGqcWvt6tlTFjTlCYaGji\nmoRgfaGnPU4YI0P6GLC+2267VZxUgHjCBilx8gzT2KN+I2+8Q8wIRoObdXuiQoOcwd0oJ+Ua\n3CgklVxmaOQyBoueeRPe3aglhYahTQZg4aiHrS62Y+EW5fHOO+/0h3AfYiA6accSQJ7JL9eT\nlzhptILE94JpsKmnkGqfIRTycEwUY2IYq3PiiSf6nmaUJ+odm16be2BhopzMjY1j5QSlivWZ\n8I5gXIo9l+WuCcf7RJUWrotTBMP4eG6tEW8KEnlBGYrWczxvpkARB26HJsbVfodbyrLcsxKG\nxUWQZwJl0Vwkw/OUW7VlF15f6z7jFBkXRz2F+yAWEcoV5feHP/yhP4bCQX3w3HPP+dtgDaXT\nsJKETCuFbcR5Og9ReEPBZdmeg/B4LftYimmXmdsgdVoj3C1xxUXpYmmCRsQXlzc65rAe8d7w\nnIULRceFb7djUpAyWKI8sGj0+Gnvu+++PgdUPoxBYkafuJ7fDGYzk0nGPYgPBr2UVtHTCGIK\n4K6QODdLGgoobWHvai1pwTIQZz0Ie95qiRcFAJcaPqzMBIWbCz1tzRQqfj7ylRpMtaSBDytK\nQj0fWFySQuGjiiWS6duXX3553wtZzbiDJAPN6aH/0Y9+5HuF7d7WMLfB7PR8Yt1BYcO6Y40f\nwtPras88W8LCwVw9LU7bonRF+TPGadiwYW7AgAEWzG+Jz+K2E6SXBjnKImXJJA88i0888YQF\nKWyxVDHZQSXhXcFagYWEtNPoi5YFDYVo4xtO0fRF72W9xlzPDGR0OBAPv3k/sVSR97jZs6yz\nJRpnM3/HWWDsfqQ7zC/PJhMhkJdQwsknKOskZRBeb/soB81mQBni4omCTsOe/JEfxk8lscCH\neYtysHywJR/hFOThOfatg4HngE4Bnm8sNbihRcXSGD3e7N90IpAPngPqOd4vxppxDEWSssZq\niqXSWJDWcJwPaSRvtFngbuUbPlfNzgfxowBHlV+ehUYsXwEbLH3kz/KFoo8iXq8wJo9ZEulc\nQYG2+OuNN7yeDg7rmGDLt+fee+91uEHSYRcdVxhe2w77xVO6tEOOcpCHBx980Pc6UqHYwxsO\ncsQNgN6KpOMOcoCsy7LIh8MafZQNlRbjHrrCpxpFo5QJnAr///2//1cXByyT4bgDi6zeihmr\nBG4Z9oEkXlxz6HG2MRJ2r0ZssRLQmQATLBPM1mbvUb3x02hHeSAvjA1AYWayhaRCY4IPH42k\nqFhDgy15IH6ERoc9c9Fr7DeNLVw7+DDTG27PAvUGSg5TVKPEh77x9HxynrxYr78pBlh1uA5F\nFqWExgTX0xAwYZzLPh0LbtJBwIeW8VRYBJgmHosDjV56bhlHZcIxFPEkz1SonBGeRhofb8qS\ntOAWRQOCBgoKVFLLOpYt3N/s/WWKbp4V409aUW5CoZe/UjmEjQnKC0tUKKSP46HVJTzf1fvl\n3gkmLoCvCc/JPffcYz9jt+GzFRugxQetfNmijNApwD7lGtZNlkx7Pux3kmeWsCM6XM2YtdGE\nd4tnjrqI94Ip+7lfyJ/nIrSO2bWkz9JN/c+7xl9UUPiZSCO0ckXDVPMba6y9E6SVhjPPhKWF\nc8yciIWDeoe6gOeahrUJ1+E+yztPeBu3Vaku43raNzxP1Dt2ncVb7Za8EE9oKWa6cd5X7oHi\nT/1I+dAJhCLIuDPGlJUTynT//fcvqlMJb0solLu20jkYUT+b0AlFehvd5qOjCkWIzjC8UyhD\nrIZW36JYYt1tV5EFKYMlS6PRKiJLfvhiMPg2/G1h6tmyuB6NGXppMT+HH/t64uVaKiHiJX7u\nU43gusa4AVw+rPGW5Pq4D16S6yqFoWKlskfsg9nosiiVBuu5izvPR5MxAeWEih/f+REdH3CU\nbD4YfKx5nujxJG/WUA7j4QOHBbMWwfWI3tFoedA4iLME1HKP6DUoF7w/3BNXF+7fKKG3mXLg\nWeQdYZKBaoSxajTy7dmxa8PGkh2zXs8kDQquwfKMBQrXGBRpGrhYO7FGc4zf3NfujZWjnNsa\n4WgYY/1ATGHzPzr+cR4ONNx4blAAeFe5N88ZA6FD5YjraFRQNpYGiyu6xWKBohXWg1wDC8qV\ncrDxEVhzSUO1Ymmg0Rreh3eJ+FHkUDhxg6KBEucCWM09GXNF+ps5k1816SlXn4bKkcVZC2O7\nNm1bytOe/VLucksuuWRNycZ6ba6lPKOrrrqqb0jjnoZCb3Uhz589g3xTsLBHhfOUE+6SzMDI\ntOeMSaRONqEOR+Fnpr4rO9w6TSgvi9+ORbdYzhg7Rj0dCg1m6yzD0kj6uIdNxME3hMWD+fbZ\nxBd0ltDZgLLG80MHAVY3nnnywHuGwAP3TJPoc0WnExMoMDENyk10DSjqJNzPzKXN4onb4vbK\nmLBQOSIc3haUB5OzYFVH0eO9ZJKOCy+80I9FLLckAJyp3+K8CKy+jEtP0mMo7eY9xDXUQ9bO\nKPfeVoo/7nmgLBGeBToTLQz3sbXQfIB5/yhPXAoPOuigTmNMw3BZ2O/WkdkvR/lnIbVNSqNV\nhE2KPlG09IJYrxwveCU5/fTT/Yd5u+22873t9OBQKfJw0qNbaWrSSvHTUGNgMvHz4tFjahU3\n11I54oZQafasSvehV2y//fbzPrT2KDKjDC8YlV85ocFlvW5U0FQSZ511VrlL/Dn8aBm/RR5Q\nGkIrBY1angd62E3RYdajsLem3A2oRKhEsSRQ0VNR05jDLanZwocEJSZszIX3pFLF7SFuADHX\nMi24Va48T/TC8/EJyz2ML7qPkouFIKlgJbHe0rhrsCARJupuRdg+ffr4Xj8aMuGHEGWbRgYc\naCyY8GwxboTy4APNNhSsNjTe6xGUAHrXTFlEqaHRy8B++3hVip+PLh/kZgv8eB7ChgF1UJK6\nx5Q1mFI2NIQQGg72Djc7/aSh3L3CNJIW3uVS70Uj0sr9mKGKeqtWob6gDg9dtWqNS9dVTwDF\n1+q/6q+u/gqsJ7xvoeUNq0ucKzR1M3V31O3LxgZG7471CyWeb5w1cC0MSgx1FY1b6lg6LOgE\niwrub8zCSp2KoGDRQKYuQ2kMXflJBx1aTKrBNwAFhwYywveQDrfwnYQ16QonzKA+ov2CsE/H\nA/HQRmA8JN4ZHKctErpuEi+dtrw33Ofkk0/2HRa4IKMAxbmF803DpdXGBfqbxvwL00Q8KDzW\nMUW+4sZUUS9RjqbwxUTrvxHRbwLfOtwNabvhah5+v+Li4BjuoLQ5SAf5xUJHuaHQ0c4x5tHr\n4ccU+yisfJ/IF98uFHfaUfYtpF3Ac1Kq/UIHG+1AhDjq4u5SAABAAElEQVSw4uNdwFIKvEvw\nw2WZuq0RgjLOOxBV2KuNm3TZbJblrpWLXTk6KTxH7wnKi33sTbnDkrLwwgt7twBeMB5SZmah\n5x+Foxqhh50XhHugSPAgWcVl8aCc0KNivShUCqVeRrsmusXsjjtS1BpFDxvma7bl/OBRQmjg\nkU7SF+eWFN6ThjT8qHwQKn4GGuN+gxAfHy0qNhQkevJhWo3Q8ERpIy5r2BMfacNMTyVmlS4u\nD7UKeWZgJvdgZjEEhdaei7h4YYSvMo246EeTii1sHKB4UOFFyz0uXjvGM0PlzKrkVP48g3wA\n6WmlwrYeR8ITjp7FcsoX5cMH2cZkUFkTngqS542PAbMF0pvIoHfuSY8f18EBqyIfeITpl3ne\nSgnX4+pnZcIzgUWAe/HRKqesU1mTNywaphxxH9LIs4bigCsaH00EJnyImN0pWklHG0D+gib8\n46Maleh7GD1vv8mXCQ36uDVr7HyztmEa4u5R6XzcNfUc4371KEfcO6q015MeXVs9gbD+q/7q\n6q/gOx5VTOKUI2KmU4dGJs8YyhLf3bgJeSwVvMvUL9TFUUGJMaHuQrFHaeKbjtJDwxpFg04y\nU44IT0OZhi8dItGFabEG8WffC3v/UJr4DiB2jH1Yh8oRx8L2A/U33xPrLMCzBEWStowpKFyD\nEC8duVa/2zcQKxWNd6xdUYFf9P7RMPy2NNPBgoJoCw7ze9NNN427xCuc5ZQjlFe8Zfi+8m2D\nJ+7HdNLBDw50HGIJxD3Yvu9xN4Mj30XCkybYkGbGnFKW4Vg3Os5RCvm2067iOsLScUg8xhWr\nPmOZmYkU98hy7wXDPVDEsR6SVtpj4Tedtg5uiY1SkOIYNPOYLEgddE3JaCboSnEnsSBRQTFj\nCS+RNbKj8dJAp9GI2dh6TWmcVTMNKBUr9yonvMQoE7zgmHp52WkghjMb0eNFPLxs9DREhQqw\nXOOKl4oXHSXFKk/GHVC5oYBQefPhsEoFSxQNYSqbER29U2Hjk546eqFQJK0SJz2DBg3ylR4N\ncXqoQvM3lQkfGOIJLUhUKsRnyhP7VHpUKNyb3jU+QpjoaWhTGYWVhnGo1WrBBwCFg48PaeGD\nxm8qPOtRsnvEbek1DKcxxYpGPsM0kjd8j3HdCI/HxRc9xngMrHKkC+E5pDcMPpQjHz0+NvYh\ni14f/uYZYAIH1hHhQ8c1DJqnF5EPC5U38fMxwE0s/BiikOKyRZkz7qac8D7RKECBRZHmvpQr\nQm8nzy9pRwHiN88SeeR5j44libsP8dNxgeLNM0w+eGb4wNCY4ZnmN+9DuQ9SXNw6JgIikE0C\nKCahwlIpF9RB1PlJJalVjPqJeO1bRf1k7YfwXnzLSQPKRfgdJQwdplzPZCSMVeH7jNUlzi07\njDPJPvHyLaJ+jN631PVcg0cJnYIIChTWKL4FtFtwKU8qdFzhDYBLJJ2sdLzRqUbbEQsJ40zN\n4wGFgc7KpMK3hO8t43CjQh74bpYaxzqoo/1iik34bFCedPZxDAZM5ICVKck3l3LnuqScUdRZ\nXoT2UrStgNs1HYQ8B3QiWidhNJ9Jf8ODsugqC1JqFSQ0cBqXbGkM2aDiUiApTBo4WB0ohFLT\npcZdnxUFiYqHxRPDh5wHJnwoedHoTaCniXC8KDQaq3HbGTdunOMvvA/xwBiLBUoALx/maV6K\ncIpJGnxvdIxJwHxL+dlLxsBEFBjMuCY0dKNjEOxcuKVhifsWStGVHb69FmcYhv2wguA3FSEN\nT/JB5UBFEX5cyBNKGhVfeJxrEXrQcNcKFSR6w1BG6IGnMY31gkY45UC6qFzYp5FNpVDp2YKR\nVX6kk+sRennoncevnHyhCNJrR4VDwz8cDE/FgzJKuSdprBM/406IAyWAAacoV40S0ks+ouXE\ndL2kE/fQSuv2VEoLlXLYu8kzwgc0nOmJ8sX6w4QMoStZubjprcMyFdfzWu66Ws9F399a49F1\nIiACItBoAnTahJZlflNnxVmguTcD9pO4ufN9CNsXjU438aGw8H0e0dFZinWMxZcROpFLpd8H\nSPAPl0LaVXzL+IZGv3UJoigKEm27hCdxF+d7SXuE+9AmQammTYz7fqV7w5r2TVwbJ7xPPftJ\nv2O0y1EgCV+LcF3uFSR6HGik0OvM7F80InF3oYc4TnhAMEfSGMWkSHjMnzatatw14bFKjdgw\nbLP2oxYkNGQadYM6egiQq6++2lc+oTLEcRQVGtMmvGj4kBIe4TcWAriELk4W3rY0kDFJowCx\nxcUtbGzbC8z4FSwXNLB5OZmNJ7x/pR4r3AOIA7/nrugpJx/0+MRVIpYnYxC35XrctqhkqWgw\nJVPZNkp44Slj63FimmPcCGBLWfPMU9Fj2m90BUcljxJmPVCNylO5eHBVo4J7+umnywXTOREQ\nAREQAREQgXkE6AS0IQUcsk7rrAFiaQZzm6827VKQOojhE0sjkVlbaMSiPWMOpVHN76hgJWBa\nYKwE9A7gUoOlAisGlotKkgYFiR5rTLZMw4mbmFlKUBJpyGK5SNoLXiq/DCpE0UTBwUSO5YCx\nELiPwa9awYKCa51EBERABERABERABERABMoRoFO/1vGWuVeQaHAzzgZlwVyP7BizmsQN9mKw\nN2MacOEyQUNFyWJcTCVptYLEZApYZCQiIAIiIAIiIAIiIAIi0I4E8DLCiFGLdLWCVJsjYC05\nS3iNLYaG1cQESwVjL7B0xClIKDhheK7jdziw3uJiwBtWExMsTrhNtVJsMHgr06B7i4AIiIAI\niIAIiIAIiECzCODVZRNcVXsPhjnwV+v11d4vdQoSyg4DAfkLhfnaw7Eudo5xGoyjYFxDKPxm\nbvyoMMkBUxqbMJC+1dYbNGqJCIiACIiACIiACIiACLQrAYwg5aaoT5Lveq9POu46dQoSykJ0\nIgKAMcg+TmtkoBoaZfQafmMdigpTUrP2jgmTI8QpXna+K7ZMdCARAREQAREQAREQAREQgXYl\ngEGj1jY37X3a7I2YKAuvtEqSOgWJRSVRhphVLVSImKAAa09UmLSBWb6iC3MRngkPosIMalFp\n9RgkZpdjNeN6FxqM5ku/RUAEREAEREAEREAERCANBGizswxKLcIYJLzLar3e7omilUS6JwnU\nlWFYhwQI4SwXrAHDnPnRcUaWLmZ6C8NznPWQmCI8K8J6PKx0zNo9TC3NgmTMNGfrPzEOK24G\nv6T546E69dRT/dTdrNvDXPQXXXSR23LLLWOjYJr00AKX9IGKjUwHRUAEREAEREAEREAEck2A\n5UpYSiYLkjoFCd9CGu2/+c1vvBkNTZHpu3GLY40ehBkwWOfHrEasRs24IpQi4NP4x8eQaa2z\nJEOHDvXTmbNuEQuEMiEFM9y9/fbb7rnnnnNvdCzAChtcClm8tJqxUyhDTJ+OsNAoihizBV7Z\nsfAqC7aaMLW68WVqcab/Zg0e7plEWOcGKyBiJkzm7zdBmWWhM9ZYYhHP3r1726mmbFEqQ0uk\n3QRrJEpgEmGGxJ///OfeUomiGSqOSa5PEoZ4WSWcRZFZ+4hp7V999VV3wgkn+HSy0G+pMkB5\n3WefffwzUa0SnWX3To3dS/JkKYwIiIAIiIAIpIMAs1OHbcJ0pCo+Fd06FIq58adadxT/RNYF\nevbZZ705bc011/QNRZuI4b777nMnn3yyu+666wpWpfHjx7urrrrK0WjCcsTU33HudHG5arWL\nHWmKLhQbl047hjXNGssoTVibWGX5wQcf9FYhC2dbFBWUxzhFwcKghCFxVjdc/1BmbGFXFDOs\nXN///vftcr8lTW+99Za3dNFDwEK9d9xxh1eY8Dulkc9fKCjCKAHVCvdiAVeeiXJrOKF0MmU8\nFkZWz2YlZ1w4l156ab+2FPko9wqgcKAgrrHGGkVJRIm89dZb3TnnnOPjI1wYD7/PO+889/Wv\nf90roPCPCrO57LTTTn46+3XXXddhJSwlrOt1zz33+NMoU6xuTkVDurh277339s8EC87CpZyQ\nNqy0u+66qy9XlKtw4pLwWt49lPN6Vz3nfnDn3pQZ5cdiyNUIz6Y9pyw2x5peoWB9Jv5///vf\nncoiLJvwmlL7xMNq5TzzlBPKNG67xAMT8sD7Vm28cfcjfp4n+KCM0ymSNeGDR4cVeZA0hwDP\nZCOet+akTrGKQDGBZj2v1cbLd4MxK9RN4dgVOjoZytGMd6qaNPItoeOYTn06Rfm2m/CdZAgG\nhgKbWIB2Ld+iuEnI7Drbcv2IESP8Ejjvvfeeb8vgqTR48GBvdLjzzjvdI488YsH9lrRjqPjj\nH//ojjvuOPfQQw8VnS/347HHHvPX0rlO2yaUTTbZxH87999//0Ineng+yT7tCHhV23aIxk2n\nMkaGSpJKBckSzUNARpL22PMAcY1ZMCyeStusKUil8kMFgHUoKihPWG1qFRSwPfbYw0+EgQJK\nwxTrHAvNhsK51157zZfZLbfc4g499NBCo5hKaOzYse6www4LL/H7l112mTu1w/2vkqAM4G5p\nitq3v/1th7IcNddSKSAHHnigoyFdSnheWJQXJdMUABqrL730kr8Ei+U111zjG8dxU8YTiErk\nyg4rHI1aq2ixALGosVnQCMfsiRdccIE/hpI2cuTIku6NhA+FeClXSyPn6Dwwi2oYln0q2zgf\nXeJAgcUKSZpNqJCxJH300Ud2yG8Z2/f444975enYY4/txLkocPCDRj4WSqy8xHnQQQe59ddf\n33cCwIb8oMwYr+DSkrsohUzRz5by5XqsgPbR4EKUGO6JMEkLzy2zX8Ib9meffbY/V+4fnQgo\nqri8hhZGlC4s09yX54408E7x/MGUD0O0HknykaTCP+aYY4rWa+N9oIOoGj7l8tTsc9TRWLz5\nuEcny2nmvalvrC5o5n3SEjfPXFgHpCVdSkc2CPCOnnXWWe7www8vdDSFKU9SX4Xhw308Qajb\n+bYcf/zx3juF5VPwhqFzMu495X40mqk3qENLiXUIcp768uijj3Y33XRTxfqG92WbbbYpjO2m\nE4qx3m90fO9pz9AeoRHPkINSQucj4cPv/6hRo7yHR9y7SJ4mTJjgJyE44ogjEr2vlAvfKoS2\nDN8e7rn77rv7tiwdciwFw5ALvu2k6b///a+j8zcU7o3yxHfjiSee8J2ntEPKWWv4ho0ePdq3\n06jHKQ/aFawjihJF+Z100knhbcru842FLcI398ILL/R5wAss2l4sG1GJk1KQSoBp5uFow6aZ\n9yoVdzUWpFJxcBxrCS++CY2IXXbZxf3sZz+zQzVtsdahDGywwQaFSmbDDTf0jUlTUHixeamR\n888/3/+FDSZenFKN1EmTJnmLIL09VEC86GGlyrVYn1DMqKx4UejhpxLCahKVcgpEGJYeJHpR\n6E0YNmyYrxSs4qOCff31171VLawgw+vZf/LJJ/0HwXrPqbj+9Kc/RYPV9RtLFx8aKj/GpT38\n8MMl48PNMW5trdVWW809//zznRQkIkIRDF0tOUYerBKm92mfDkvT008/zamSgqUrfNYoQ57B\nqGyxxRbeqhk9Hvebip9eJ5QGEzpNruxQ8nAJRajcWSg6DGNhbcuHFQWK+OKUDxRIesvi0mtx\nlNrG8aNjgo9yKeEZpncQ6104vpJpUFEww57EUnG0+jgKJY0QlEbe/TiucWmkvHhOS/WC4v6L\nQlxptiPisfcu7j7hsawrVNXkNcy39usnkJZnh3eGxnPSZz7MOUMRcOPmu01HZig0vFFs7r33\nXv9dtY6nIUOG+B57lAiUIOrzuHvjkcG3ge8SSgceDShjWJXxEsGTBE+E8Friu+uuu3ydgTLF\nd5f6g4453ns6EWlgE472B9+gnXfeuTBZF9842iPUl9RDlNGgQYP8N2vbbbf1dWulRnkcC+OC\nYsa3jHjp7EU22mgj/62kzcOwBepu6jDSTXsBZQPPEfL7ve99z6Iq2hIOpcWsWnyz+HZVKzCB\nMR2xeJPwxzeODj7KL+ygLRc3HjK0gfjmwDcUvkEoaBgeTGh/hGuJ2nG2eMzwDDVLpCA1i2yZ\neNtJQSKbuJLh0nXzzTf7Hm9eVF72RgkvH71FVEw0NnmpouOJUCyo4AhrShJhUeCSLMyL4kP6\nERqPuDPRQEChwXxLrwuWwlVWWaXIskGlgBWIF74WQYkw8y0VDZU6ylM5BYnKEcZUiii6v/vd\n73xlU8v9S10zZcoUh2WBDxS9YHyQSgk9PzwDUaFniI9M1IJEOBr4WInsAwZDrCOhxPVahee3\n2mor/zEMj5Xah/G5557rewEXW2yxsm6SfKD4EOy2226F6FCQMLXzAb388st979SpHVZIFI5y\nwkeJ3ko+SnzQbRwj19DrFioq5eKJO3fGGWd4SyFWJj54KPT27KN80+g/5ZRT/KW4n/Jx53mL\npjnayRHei48rDQm2vNNxinAYvpp9i7uaa3in+SjTK03e6Ck0JYkxlDTEommkPHHbZVwp9QQc\nokJ8NJQoU+uwiIbhN5ZJrHulPtjhNVg2cS+x9IXnSu2Tv2h4PtJWrqWuS3qcRg3ux+FzyLU8\nQ+RL0noCKA88B1g6TPjO8P1hLG0jhHeCDhVzkcZTgrqK+p7n394BevYvueSSwu8k9+Z55duJ\nBZx6CBds7mPPGHUpjWS+qQjfdSwL/DYFg+eT+oahDTSAeZdwMTfhHnQGcR2KGMupnHnmmXba\nb+nwoBPF8sJB6gcUIL7pjLvFS4ROUMJQH5UTrCPUowjeIqStWkEp5Hsd9z7T2IcL+YYJ32Da\nGzwLofAd4bsZDunAayLkE4aHK20FONIhbJ2QYZg07cOZOp48knfKK1qnk16ege23395/k5uV\nfu4hF7tm0S0Rb7spSCWy2bDDuKCF7kc0vLHYRIUKhUoSS49VQPt0WCFQpioJLyMKEj01VLhx\nZmLipIFhjXpeXhq+jK1J6pYZTQcNKHPLI+1UXpUUJIsDBQLfXSqQVkq5XjHSFacg8THGSkUj\ngAb7bbfd5lZaaaVO2eA8im+cCx8TTJhS2+nCCgf22muvTuOgSAc9g1S6fPz4yJuYgkRPY1xa\nLFy5LQ1flBryhPXMGgPlrkl6jgYOnPjQk24++igFuBxy37jn2eKmVxIecQJjlPXtttvOW095\nPitZWYiHdxRFtJTFhgYfnRK4rmDNLSU0Wug4QNE2weKL8s57yDMTfjypJ8yHHeUT11vcHilX\nE67h+QsFZjSecNNgghQ48n6HygqNFRp9cI5TJmiwoPSaYLVEISVOk2icdpx80ntOWnGfJT1h\nPcN9+W7ggkqe6GENG34WT7kt96ATgg4NlGfcNBHKAksBz5CkmADlxV+1rItjqe4Xje9rr722\nyAUZKwGuVDTs6xHyQiMfxYEOIzqq8NRAAUH4/vGcm1Dv0Tlp41E5Tl1C3U1DlveDZ5Vni7gH\ndVhU+N7yjFEHILyTfMN5Z6g7eJ9rETrqUCAQ0k8nFgrSd77zHd9hSN0aFeorvpMIHSB4NNQq\nvJ+hWzhxEWc1QgcuCifeL1GhHjMlNXqu0m/q0uuvvz72OaVOMTf+SvGk4Tyd0ngJkGa+ySyf\nE3rtYDWjTHnWGLOEAtMs6WoFqWezMqJ425cAPV1UqlTeVMQ0yOOEMPT6U1FQWVNx0+ObRAiL\nYlROeFnoUfvlL3/pg1Fh44pVj9DDRk9WLVLOqlNLfLVegxWrnFAWUaHio7FmLoVhAzYMS8ON\nHkhcI6JCA4+eRj4A1QpWE9zfGI/DR55KmMYnz0GzBA619DomSQ8f71NPPdVdfPHFvrFrrn9J\nVgBnXFyckF5cPkxxpcHOfaKDbOOuxUoRKmU0tEIrI8yZfIUe63HjxhVFwX1JNx0FuM6gRIUK\nEq4ZCGVFj6h9PPmNMoKyzXNBIyquMYYLB645KAY0WBCeYd5vei45RicLvcv44Zuwz3NjDS47\nzpY0U9eEChIdKqbkWFjyRT0WFdySabAi3B9rIJPB0DCnAUCaaajiWojlDIs19Ry9wqESF43X\nfmNFx22YhiuC644pSKQR11F6oZPEZXGW21JPd4VSQSOc+2AhJu10FtXagRHmx9JP7/uIESO8\n1Tg838x9nkWUFBr/Jrw71SpH1GlYIhCeT55nJjri740OtzkbC3P//fcXFCT4YcEwd1sUACag\nIowJrl4woY7BcwSLFxYKuOPdEdbHvDPWScJ1Y8aMsWiq3qJYwATrF+M8EVPqaUzzHFBuoTCR\nFmNaOGd1Yni+mn3yZQoSdUUtHZPUOYyLxgpk7n6WBvJVq1BvobBRHtF3mPc6S0JbgE47Oqyo\n3ylbOi2pp/imUJ5x9XqW8lgqramepKFUoht9XBak6onipkTjBDcDGk3lKifc43jB6P2mJ73R\nwotLhWsuAo2OP6kFqdH3rTU+lDz7EMfFUY0rXPR6etNRXOEdFT5SVJ6VFLTodfabcuRDT0OW\nDysN61LTkDfCgmT3TeMWqwiNDTjTmMIawkc37IzAnY1GRrTRX0t+YM1zgzWETodQsFbRGDKh\nIYELIenCH51328ocSzKNexrIKA70JpcTeuax3tGIwMJl8TA7ZGilJo5obzqNPcbloVSjxFgj\nmmeI3msUTRS+UGj0hMdoZEXd2wjP4GR65U1obFLfoRgyzs7Wp7PzbLnfxIkTw0Ml96OuWSin\nNnshdSn5ooOABiz5pmFSbjxbyRt18QnqABpMlCWTqKAk08NsHgS1JAflEWWUZwLvACyBpcZ3\n1BJ/qWtsUhueZxR0m0GT8DSseXZMEeRdiDaEw3g5j3UIZYdGJZ4P7PPMwoolOFAeeN85xjuF\nixfCcw5T3g3G9lIn0inCwH46ASrNWhqmg2vNXZw00Yjn/o0QLM+8s5YH0kynZbOEzg+UGywc\nvO+MO6pVSDNWktAThnqV8g3ri2rjpw4J44Q5Y3tLfdeqjb9V4fEOorxR8kt1pjYjbdQvXeli\nJwtSM0oxB3Hy8Ug6PTcfOP6aJfSYSeYTCC0DHOUDyHgPKvtax2ZZ7DQAafTwQQmFjzofb2vg\nhueS7ocTW9DYwF0v6x+SpHmPhkNxwPrC8gW4pcT5s9OIrkY5skYcWxpnZq2hsYZyhNDIYCwa\nSgPh+ACGyhFhcNGkMY+LDmkjLhMsK6QrtDDZubgtA7itYck9uVepuiLq+ocrLLND0oDkDxe+\nNzp64rHODOpw9+CZDIXnNtrYibr2EZ7GaqgccQylxdaR43ecoAjgzsR9YWe9/mFYK4PwGPt0\nLJigjGEVo+FrVgriNUu5heuKbSkFstS9yTsNptD6jzKNC2a1QicITJk1FQ4oSPCL1m/Vxlsu\nPIoP9+U9sOUjsALbuxJei+sdnTqEZ8wNykFcOK7hGSe8WVjCeNjH6mp1Ko1AlGFTkOgs4S8U\nFKOk3hjhddF3Ap6NEhQB0g4D8oJVuJkKEp1GSaznSfLHu0q9FUqUVXguyT5WKXt/CU98eGAw\nNjPrgsWoXa1GYdkUf0HCM9oXARHIJAEaNQgfPyplXKLwmadHF6mnN5cPddT1gPswk18la4G/\neZl/1iAgCB/a8HeZy9ryFJZZLEZIKesss0XR6OcviaDY8DxgjWD8BO439MgzdsGEuFBUiXuf\nffbxVhM7F24Z4E2vfqgcheeT7jPui7I2QVkrJdHnFmWHZ5FJOlCMbF028kg+eOatl55nn/xw\nzoT7mnJmx04//XR3aodrZC1CAxg3UcYulorD7hdVtnA/JD000FE6cWMOhTy2QsIGdFhOcWkh\nLO6WoXJEOMZXhfHEXRs9RvlhWYQl15rygPJYim00jmp+Y9XBqsdzREOZhqwpYjxnVqdanDyL\nWAx5xnhmeG6xvpYTOgCiCrqF59klzzzPuOKV6iSw8LVucZ+lB57njHSHbre1xmnXUfaUFXng\nWanHomNxdtWWso/WL6WU3aRpwgpo7zvXMP4R18fo9zNpfArX9QTmf5m6/t66owiIQBMI2OxK\nfHRRWpiRjh59etsRZhNiYgIaAdUKjWt6VnFzMaHCb8T4K5QveotpoLMeA+NA8iw2AJqZFOPK\nix7k+zvGIuCag6Up+oEP2aEY0JuLWx4NMaRUIwxXVSZG6ArBRZDxb/SgM34QxauUhIPVCUMD\nLxTLlzXGcVtjjBDCMRrXsGSsD26z5DPaA12vwmdM6ZFmwHIpwaWRd9IGzjObFhYIBs3zblke\n7PqwoWXHqtnSYKXDodpB8eH0vuWeL9KC2yEWwShDGoZYlUzhSJJuLKNmMaShauvnYVWul0Xc\n/aPeEDwfVgaws3Fydm/clBn/FwrWVupHXPZNoaNetDFyTBVdqnFM5wUWF8aAMp6nWW5LI0aM\n8G6gpC/sLAjzUes+eWcMHi64vKv2LtQaX1deN6jD4hy1lvINYsKMWoXvbCjURfV4WIRxab9r\nCEhB6hrOuosIdDkBpkq2HkJm3TKXHxofTG1qU05XmzA+fragLo2IqDtStfGF4Zm9rdQMbmG4\ndt9nUgWzINHzzDgIGtVRQck9tcPiQUMMxTX0dw/D8vHHXdGUiPBcK/dRjmodrI27qLkGkgdr\n0IYNPzvGeSxx9PLTUMctCktB1HWJcI0Qxl2WExpKUauETXYRdx0WitANLy5MuWOM08JqkERB\nqnXMJb3wTPQSrQ9QMFB8k6SfcsHKgiJia7LA0qZx5zhlaooKeeY3fzT6eR/oTKhWeA5DYdwd\nM5ryzlEuKDBMomBWS6xHUeG54x1k/Brx0cGDNcjSHjduLYyD85XChOHr2Q/fkXriiV7Lc9pM\nt7ro/Rr1m3oRhSisY3EjZixvra5kdH7Ys8o2Swpjo7hmPZ75/gZZz4nSLwIiUESAStmEBrQ1\njhth8bGZ1Gio0FMvaSwBBuaH44usF7rUXZgZCSW4lKBkXXnllaVOZ+I4LiuhsAaWKf08h3ae\n8UjWgx+Gt30a4QhjAaJTu4fvjIWvZYuSUUpwccLqV8p1Mu46LHo0tmsVpmCm0R8V6gIGuIc9\n21igaxGYl7IkM2AfRSkqjI9cd911fVmw8CXWPcYrYU2xmdFsZjyupQ7DIhUKaTfrOJ03tXDC\nQhQKzwGKO67DjP2CHXlgoiGmcMY1NU5w5WRsHJ1Tlo6uVHzi0qRjyQhErXu8p7W+C9yR9wp3\nWWYeHDt2bNF07clSpFCtJiAFqdUloPuLQIMJWCPPtkTPtJzMNogbBKZ+BhXXKri+hD1tUVen\nWuPVdfMJ4P5FTzxlSG8vH9h6hMZr3FpB9cTZ1dfSMx8Vm2QB5RD3HgTXFmYdSyJcF7XkJLmu\nUhjcrUotOkyay1mL4uImPhrrtQoKpM1WZtYSni2syMwI98wzz/hpxYkfV8RKwgQSYYOSuJjc\nI7TohXFgcWHQOr3xKEpYs2yLVQ+llh520oi1JnS1JO+kk4mBcEO0sWbETxwoLTZrJ9MqV+M6\nTAOY8V2DOlysKgkuoLj4ofw0ywJTKQ0633UEKOM4pT5pCniG+U5itcW9UpI9Ap27dLKXB6VY\nBEQgIGCKkW05RWVPj2it7kxB9EW9zRy3BlcYRvv1E0AhYM0S3CTLWSTsTmF527Fwy7o7WRZr\n4FsemMXK3F8Yu2GCMhD+tuNxW55deoqxsCGVGMbFUeoYY1RwO7M42fLHcTtW6tpGH2ftHFM6\nsMgwdg0lxXrIURLtGSvVKIS/LUqMssP1NukAzCtN0kJZYeVjUhDSQF2UlAPKia1xhxsfgpsv\ns3NiwWbmQgT3unIudkxSgBuqTalNflDAJPkmwAyvTKsfCh0ZoRU/PKf9fBCQBSkf5axc5pBA\n0sZHtWhoaNG4oVHFFOu2oGa18Sh8ZQK4MlrDtVLocuXNoPKszwoYTnqAy5NNwwwXGslMDoBV\ng22lxnrI0lxPw2P17jMZBG5iCMoDf1hIsNYw010tYuVr26RxrLXWWg4Xu1CwbplyZMdtmmOb\nHIHjzESG5Zn3PZyeGNdGLDcoUzDHTc5mybT44ra44DGejgXE67XCYIXDapV0SnmsXowLIp/m\ngknZl5p6Oy79OtaeBFgwPFznilxyrBl1Q3sSbM9cyYLUnuWqXOWYgDWgbNsMFGGPbjPiV5zV\nEyhV3rhVspZL1iUcwH5qx8QUoeBWxSB61h3BImCWpTBM3D6ztIUztbEYLNNUR2dii7u23DEa\n7lFXtb/97W/eclHKQlMuPs6hZCGUs+37AxX+sQBmJUHZZDkAJIyb2dRMuWLiEJuogJ51GpCM\njaOnPZzVstK9OM84o48++sj/wbyaiVnsObctk4+geKEoxU3NzOLKDz30kGOmQITJH7CA0fhl\nPBrKnSTfBJhFM3zu6ZRizBnPvCS/BGRBym/ZK+dtTsAaEG2eTWVvHoFS5U2Dv5oJAdIKlEU5\nTVhPJCooRYxRSaoccT2LmDIhhgnWhFotPBYHW5s8IjyGUlGPy46Vr23DuOP2CYcLIeszVRIU\nn7CBSHgsQ+FCzUceeaQbM2aMV4Zw/8S6iVWMsXLheKRK90KJYQC7CeOLzKJjx8pto5YnlDjG\nn7FQNetJRcUm5bDjhGGMGovvMl7NZvq089rmj8DBBx/sLZrWedGMcYn5o5r9HEtByn4ZKgci\nUEQgaQOq6CL9yDyBUuX+5z//OfN5IwPhRBXMFJbUtapc5p944omi0ygwNh6p6ESVP5i4xNay\noVxo1GNxqdcyRTKiCgLHRowY4RZZZBF2iwSlZ+bMmUXH4p4TpjsPj2N1gfGee+5ZuJa0M/U8\nFh8mUqhVsNyEChVjmeLyVCp+S6dtCUeDlslnzjnnHHfNNdd4y5BdH4azY7gH4uYXdTO089rm\niwAuu1gZebYRU5TyRUG5jRKQghQlot8ikHEC1iCwbcazo+QnJIBLSJyELmRx57NybMqUKYWk\n0vAPLT+FE1XuRNezId6tt966ylg6B99ggw38gpwTJ070i+Ay2UY4+1rnK5IfiXuvsebgshYK\neWHNp1JTUodhUbB+8Ytf+EMoR0ybTXqrUVzC+MrtoyAxdTaTPqCgXHTRReWCdzoXl/8wEHlh\n4g0TC29bO66tCIQEBnXMZMh7izTjuQ/vpf1sEJCClI1yUipFoGoCahBUjSyzFzBbmvV+RjMR\n53YUDZOF3z/60Y8KyRw1apQbPHhw4XetO5dcckmRSx6WDZvtrdY47Tp6oWmos06PWZPsXD3b\nuPf6+uuvLxkls3Ph8hd3XXiRTcIQZ4kKwzViHyWUyRIYM2Yz0CWN1xqv5fITnrN92ya9j8Ll\nj4A9I5qcIX9lH5djKUhxVHRMBDJMwCp522Y4K0p6QgLhQp/RS7AItIPYZAMswHnppZc2JEu4\ndzHmiAVGmQSCyQPKsWzITeuMJO69njVrVlGszCiHgsYf04once2Li7co0pT8sHTaNi5Z4Tnb\nt21ceB0TAQjYM2JbUck3Ac1il+/yV+7bkIBV7rZtwywqSxECuCth/bB1acLTzNi13nrrhYcy\nuW/Pczh+pREZYdY71ufJiuA6FxUmPmCyAXM7nDBhgmMiC8IyEUUSMb62TXJNK8JUmz5mD0Su\nvfZa9+Mf/7gVSdY9M0bArJQZS7aS22ACsiA1GKiiE4FWEnjqqaf8QoikgQUZJfkhUGrByzPP\nPNO99NJL+QHR5jmNmyEPpYH1ikxQlo466ig/qUI1s/rZ9VnYJlWUbHHbK6+8slA3ZiF/SmPX\nE7B3i6nrJSIgBUnPgAi0EQEWYbS1QFj3IxzY3kbZVFZiCIwfP75o9i4LgpvV888/bz8zv03a\nMM58RiMZCBfGDU/R241yxKLNJvUwqudau38zt4y3Q956662StwldDs3ixriSDz74oOQ1OpFv\nAjwnzISIsKTA4Ycfnm8gyr2TgqSHQATaiACzVpmwtogpS3ZM2/YlMGDAgE6Zwx2NcTasVyPJ\nLgGmHj/kkEM6ZYDxRa+++mon17FalJxarumUoCYfePvttx3rMSF33XWXn9I7estHH300VhFa\nc8019R5EYel3gQAK93PPPed/oyyVmvSmcIF22p6AFKS2L2JlME8E8LG3MRpM08tgbUl+CEQX\nImX8CYthsjK8JLsEWMsoLFusIbvssou76aab/AQMTPGNK6VJuTWiKilClc7bPVqxZUFbEzqA\n4tb42n///S2I35Kf6667zt16661a36aIjH6EBJZeemm/lhjPC1b3oUOHhqe1n0MCUpByWOjK\ncvsSYPrcF1980btUnXbaae2bUeUslsDAgQOLjt99991tpxyluQFfBL+BP2i82RgjXOrOO+88\nN27cuMLisCgAoftYuWm/SyXLuNq2VLhWHqfRimJEGukIilpGORdd6PfCCy/04dKcr1Yy1b2/\nJMBMj3Q47LDDDg4lm3dKkm8CmsUu3+Wv3LchAdZcaeS6K22IqG2ztPjiixflDV96XEcGdSyC\nmHXJewP3rLPOcmPGjPHTkEfLuU+fPkWLW/K7WskC3xVWWMHdfPPNjvFYuBfuvPPORdlEeTzm\nmGMK1jTGkey4445FYfRDBEoR4Jn61a9+5dcv4x16//33SwXV8RwQkIKUg0JWFkVABPJBwKan\nxUWE3nSm/15mmWXykfkc5HLZZZeNzeXo0aPdAw884G677TY/tXctiwObgmTb2Bul4OBaa63l\n+CsljNX67ne/610S9eyXoqTjIiAClQhIQapESOdFQAREICMETEE64IAD/AQd3/ve9/wkDRlJ\nfqJkpr0BnygTDQ6EuxmL5w4fPty9+eabsbMZNviWqY4Ol0SJCIiACNRDQApSPfR0rQiIgAik\niIApSAcddJBr1/VvUoS7rZJy1VVX+fzcf//9Xslafvnl2yp/yowIiIAIVENAkzRUQ0thRUAE\nRCClBBhv9Mwzz/jUlVozJ6VJV7IaRMCsa6YoJ4124sSJ7rLLLvPBp06d6k444YSklyqcCIiA\nCLQlASlIbVmsypQIiEDeCLA+jM3gddJJJ7l33nmnrRBY47+tMtWkzFTL6uOPPy6a5IFpwyUi\nIAIikGcCUpDyXPrKuwiIQNsQCNe+YaFDLAHtKNU2/tuRQaU8lWMUd26dddZxm2yyiY+2d+/e\n7rjjjqt0C50XAREQgbYmIAWprYtXmRMBEcgLARq1LCCKbLnlln4a5LzkXfn8koApP9W62HEd\nY5Aef/xxv4ba+uuvL6QiIAIikGsCmqQh18WvzIuACLQLgVGjRvlZzD788EO34oortku2lI+E\nBFgo1tZtee6551xUyTHlqVx0paYRL3eNzomACIhAOxKQBakdS1V5EgERyCUBZq5rd+UoSUM/\nj4X/wx/+sDAGba+99nLTp0/PIwblWQREQAQaQkAKUkMwKhIREAEREIFmErjzzjt99Kzzw6Ko\nkmICWI1MZs6c6SZPnmw/tRUBERABEaiSgFzsOoAxKLXVwkJ/CFsGWEvSQ4Ae6zQ8I+kh0vqU\n9Oz5ZdVl703rU6QUGIFmvC+fffaZY5Y+5PPPP3eHHHKImzRpkt1S2w4Ce++9tzvnnHM8iyFD\nhrhVV121MCbN3hdONqN8/E31r2oClAXjxfR9qRpdUy+wsZy9evUqvENNvaEiT0SAd6Ur3xcp\nSB3FkoZGlr2QbNOQnkRPa44CqUzSVdjh+5KulCk1NPoa/b6gIH366acFuFhIGn2PQuQZ3Tn5\n5JPdNddc495++2137733FjW67X0ha80on4wia3myKQuVR8uLoVMCbJITOhZsv1MgHehyAo16\nX7744otEaZeC1IHJ1g5JRKxJgRZaaCH/QZs9e7a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6pr/9zcKgl89racqmt/9VRXqymy/UPT6EBH1bW/2qiR1aTbxRooSdtC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dKTOLZAixYtYq9kTVyB8vLyuGmcmoD+yKkt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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggtsdisplay(daily_dff1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are significant auto correlations at lag 1 and 2 and beyond. Partial correlation plots show a significant spike at lag 10. This suggests that we might want to test models with AR or MA components of order 1, 2, or 10. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = daily_ts, order = c(10, 1, 13))\n",
       "\n",
       "Coefficients:\n",
       "          ar1     ar2      ar3      ar4      ar5     ar6     ar7      ar8\n",
       "      -0.0572  0.0438  -0.3797  -0.3809  -0.0441  0.0305  0.3105  -0.3866\n",
       "s.e.   0.1157  0.0854   0.1183   0.0866   0.0968  0.0785  0.0612   0.0602\n",
       "          ar9    ar10      ma1      ma2     ma3     ma4      ma5      ma6\n",
       "      -0.1856  0.5540  -0.0574  -0.0824  0.3832  0.3544  -0.0134  -0.0491\n",
       "s.e.   0.1061  0.1333   0.1162   0.0850  0.1172  0.0794   0.0899   0.0725\n",
       "          ma7     ma8     ma9     ma10    ma11    ma12    ma13\n",
       "      -0.3148  0.4382  0.1745  -0.5537  0.0523  0.0529  0.0489\n",
       "s.e.   0.0570  0.0586  0.1079   0.1328  0.0211  0.0131  0.0150\n",
       "\n",
       "sigma^2 estimated as 0.03241:  log likelihood = 2019.12,  aic = -3990.25"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vnhgSXM9ZHoVuhq9Hd0MYqFQAiEQAgsQwLj+gbJh+e+yIfJi9Dz0Glof/QmFAuB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\nIeua9xN0DrocmbcHav1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/cKdFSvzPa27fqvfEP795h537k50i5HdVzd8Dmns5D1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\nrkJggg==",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_daily = arima(daily_ts, order=c(10,1,13))\n",
    "fit_daily\n",
    "\n",
    "tsdisplay(residuals(fit_daily), lag.max=15, main='Model Residuals')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AAskRaGiYdaJu4z1JR46G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\nBA4++OCXlz2cPUZHkq6ujBpTSwQQSItAtTeQhgj6LsUdJvjo0DPKXOVW5Ty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da1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\nAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Natural Gas Price Forecast”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fcast_daily <- forecast(fit_daily, h=10)\n",
    "plot(fcast_daily, xlim = c(6820, 6850), ylim = c(2,4), xlab = \"Time (in days)\", \n",
    "     ylab = \"Natural Gas Price per million British thermal units (Btu) in US $\", \n",
    "    main = \"Natural Gas Price Forecast\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     Point Forecast    Lo 80    Hi 80    Lo 95    Hi 95\n",
       "6832       2.968066 2.737343 3.198790 2.615205 3.320927\n",
       "6833       2.978826 2.670664 3.286987 2.507533 3.450118\n",
       "6834       2.961520 2.595821 3.327219 2.402232 3.520809\n",
       "6835       2.959855 2.544479 3.375232 2.324592 3.595119\n",
       "6836       2.962976 2.501701 3.424251 2.257517 3.668435\n",
       "6837       2.970696 2.467929 3.473464 2.201780 3.739613\n",
       "6838       2.982710 2.441681 3.523739 2.155278 3.810142\n",
       "6839       2.984351 2.408589 3.560112 2.103799 3.864902\n",
       "6840       2.977668 2.368352 3.586984 2.045800 3.909537\n",
       "6841       2.960756 2.317993 3.603518 1.977735 3.943776"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fcast_daily"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     Point Forecast    Lo 80    Hi 80    Lo 95    Hi 95\n",
       "6829       3.012611 2.781796 3.243425 2.659610 3.365611\n",
       "6830       3.007880 2.699642 3.316118 2.536470 3.479290\n",
       "6831       3.003036 2.637274 3.368798 2.443652 3.562420\n",
       "6832       3.008740 2.593336 3.424143 2.373435 3.644045\n",
       "6833       3.019911 2.558477 3.481346 2.314208 3.725614\n",
       "6834       3.012976 2.509985 3.515968 2.243717 3.782235\n",
       "6835       3.008750 2.467766 3.549734 2.181386 3.836114\n",
       "6836       3.008714 2.432852 3.584576 2.128009 3.889419\n",
       "6837       3.009026 2.399582 3.618470 2.076961 3.941090\n",
       "6838       3.015688 2.373223 3.658154 2.033122 3.998255"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fcast_daily"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Conclusion***: The predicted opening price of Nautral Gas on June 29, 2017 is \\$3.01 per million British thermal units (Btu) with 80% confidence interval of $ (2.78 - 3.24)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.3.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
